article Open AccessTop 1% cited
CutFEM: Discretizing geometry and partial differential equations
International Journal for Numerical Methods in Engineering · 2014 · Vol. 104(7) · pp. 472–501
Erik Burman✉(University College London)Susanne Claus(University College London)Peter Hansbo(Jönköping University)Mats G. Larson(Umeå University)André Massing(Simula Research Laboratory)
Abstract
Summary We discuss recent advances on robust unfitted finite element methods on cut meshes. These methods are designed to facilitate computations on complex geometries obtained, for example, from computer‐aided design or image data from applied sciences. Both the treatment of boundaries and interfaces and the discretization of PDEs on surfaces are discussed and illustrated numerically. Copyright © 2014 John Wiley & Sons, Ltd.
Advanced Numerical Methods in Computational MathematicsAdvanced Numerical Analysis TechniquesNumerical methods in engineeringDiscretizationPartial differential equationMathematicsGeometryMathematical analysisDifferential geometryApplied mathematics
Funding
- Stiftelsen för Strategisk Forskning
- Vetenskapsrådet
- Norges Forskningsråd
- Engineering and Physical Sciences Research Council
Citations
732
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50
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References
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
Computer Methods in Applied Mechanics and Engineering · 2005 · 6,045 citations
An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems
Computer Methods in Applied Mechanics and Engineering · 2002 · 852 citations
A finite element method for the simulation of strong and weak discontinuities in solid mechanics
Computer Methods in Applied Mechanics and Engineering · 2004 · 794 citations
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